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Simplifying 2 + -4(7 + -1m) = 2m + 12 2 + (7 * -4 + -1m * -4) = 2m + 12 2 + (-28 + 4m) = 2m + 12 Combine like terms: 2 + -28 = -26 -26 + 4m = 2m + 12 Reorder the terms: -26 + 4m = 12 + 2m Solving -26 + 4m = 12 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -26 + 4m + -2m = 12 + 2m + -2m Combine like terms: 4m + -2m = 2m -26 + 2m = 12 + 2m + -2m Combine like terms: 2m + -2m = 0 -26 + 2m = 12 + 0 -26 + 2m = 12 Add '26' to each side of the equation. -26 + 26 + 2m = 12 + 26 Combine like terms: -26 + 26 = 0 0 + 2m = 12 + 26 2m = 12 + 26 Combine like terms: 12 + 26 = 38 2m = 38 Divide each side by '2'. m = 19 Simplifying m = 19
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